MTG 2206 COLLEGE GEOMETRY 3 credits

Prerequisite: MAT 1033 or appropriate score on the Mathematics placement test. This course will emphasize Euclidean geometry and its relationship to logic, trigonometry and coordinate geometry. The problems, proofs, constructions and graphs involve line segments, angles, triangles and other polygons, parallel and perpendicular lines, slopes of lines, circles and similarity. Trigonometry is presented in terms of right triangle relationships; logic is the basis for deductive reasoning in proofs of theorems; and lines and other geometric figures are graphed in the rectangular coordinate system. 47 contact hours.

MTG 3212 MODERN GEOMETRIES 4 credits

Prerequisite: MAC 2311. This course is designed for in-service middle and high school teachers and for students who are majoring in secondary mathematics education. This course presents the axioms, basic concepts, proofs and constructions of Euclidean geometry involving line segments, angles, triangles, polygons, circles, parallel lines and similarity. Constructions are made using both compass and straightedge and interactive geometry software. The course also presents basic concepts of non-Euclidean geometries including hyperbolic and spherical. Emphasis is on using technology to make conjectures and discoveries concerning geometrical relationships and then constructing proofs to verify the relationships. Each student will develop an electronic portfolio of course projects and accomplishments incorporating appropriate Florida Educator Accomplished Practices. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. 62 contact hours. Mathematics education majors are required to complete MTG 3212.